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The number 96248

96248 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 53 × 227. Divisors (16): 1, 2, 4, 8, 53, 106, 212, 227, 424, 454, 908, 1816, 12031, 24062, 48124, 96248.

Number

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How to work it out

  1. 1

    96248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    96248 is composite. Its prime factorisation is

    96248=23×53×22796248 = 2^{3} \times 53 \times 227
  3. 3

    The divisors add up to 184680; without 96248 itself that is 88432, so 96248 is deficient (88432 is less than 96248). Euler's totient φ(96248) = 47008 numbers up to 96248 share no factor with it.

  4. 4

    The digits of 96248 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 96248 = 2^{3} \times 53 \times 227 \]

96248 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors184680
Euler totient φ(n)47008
Square9263677504
Cube891610432404992
Square root310.238618 (= 2√24062)
Digit sum / digital root29 / 2
Collatz steps to 1102
Scientific notation9.6248 × 10410^{4}

96248 in other forms

FormValue
In wordsninety-six thousand two hundred and forty-eight
Binary (base 2)10111011111111000
Octal (base 8)273770
Hexadecimal (base 16)177F8
Base 311220000202
As time96248 seconds = 26 h 44 min 8 s

Is 96248 divisible by 2 to 12?

DivisorAnswerRule
2Yes (96248 ÷ 2 = 48124)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (96248 ÷ 4 = 24062)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (96248 ÷ 8 = 12031)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96248 a prime number?

No. 96248 = 232^{3} × 53 × 227, so it is divisible by 2.

What are the factors of 96248?

1, 2, 4, 8, 53, 106, 212, 227, 424, 454, 908, 1816, 12031, 24062, 48124, 96248.

What is 96248 in binary?

10111011111111000 (hexadecimal 177F8, octal 273770).

What is the square root of 96248?

About 310.2386, exactly 2√24062.

Is 96248 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 96248?

It is a composite number with 16 divisors.

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    96248: is it prime? Factors, square root, binary, Roman numeral | WordGPT